Use our free GCF of Fractions Calculator tool to compute the GCF of 794/352, 463/648 i.e 1/28512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 794/352, 463/648.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 794/352,463/648
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 794/352,463/648, numerators are 794,463
Denominators are 352,648
The GCF of 794,463 is 1 .
LCM of 352,648 is 28512.
The greatest common factor of 794/352,463/648 = [GCF of 794,463]/[LCM of 352,648]= 1/28512
Therefore, the GCF of 794/352,463/648 is 1/28512.
To find the highest common factor of 794,463, we have to find the factors of both numbers and list the highest common factor.
The factors of 794 are 1, 2, 397, 794
The factors of 463 are 1, 463
The HCF of 794,463 is 1.
Lets's calculate GCF of 794,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 794
:1,2,397,794
Now, list down the factors of 463
:1,463
Greatest Common Factor
We found the factors 794,463 . The biggest common factor number is the GCF number.
So the greatest common factor 794,463 is 1.
Lets's calculate LCM of 352,648
2 | 352, 648 |
2 | 176, 324 |
2 | 88, 162 |
44, 81 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 44 x 81 = 28512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28512
Therefore, the GCF of Fractions 794/352,463/648 is 1/28512
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 352,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,648) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(352,648) x common factors =8 x 1 = 8
LCM(352,648) = ( 352 × 648 ) / 8
LCM(352,648) = 228096 / 8
LCM(352,648) = 28512
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 794,463?
The HCF of 794,463 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 794/352, 463/648?
Answer: GCF of Numerators as per given numbers 794/352, 463/648 is
GCF of Numerators i.e. for 794,463 is 1
LCM of denominators i.e. for 352,648 is 28512.
Thus, GCF of Fractions is 1/28512.Finally, GCF of Fractions for 794/352, 463/648 is 1/28512.